Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters

M. Lazar, W.P.M.H. Heemels, B.J.P. Roset, H. Nijmeijer, P.P.J. Bosch, van den

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Abstract

This article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC-DC converter.
Original languageEnglish
Pages (from-to)890-904
Number of pages15
JournalInternational Journal of Robust and Nonlinear Control
Volume18
Issue number8
DOIs
Publication statusPublished - 2008

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Model predictive control
DC-DC converters
Closed loop systems
Nonlinear systems
Sampling

Cite this

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title = "Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters",
abstract = "This article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC-DC converter.",
author = "M. Lazar and W.P.M.H. Heemels and B.J.P. Roset and H. Nijmeijer and {Bosch, van den}, P.P.J.",
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Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters. / Lazar, M.; Heemels, W.P.M.H.; Roset, B.J.P.; Nijmeijer, H.; Bosch, van den, P.P.J.

In: International Journal of Robust and Nonlinear Control, Vol. 18, No. 8, 2008, p. 890-904.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters

AU - Lazar, M.

AU - Heemels, W.P.M.H.

AU - Roset, B.J.P.

AU - Nijmeijer, H.

AU - Bosch, van den, P.P.J.

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